How to Multiply 2 arrays with unique non-integers to prodice an array with unique results?

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Is there an Algortihm/formulae to multiply two arrays (1D & 2D) of unique numbers such that the resultant array contains unique results. Would one have to create the 2 initial arrays in a certain pattern in order to gaurantee unique results ?

How could it be implemented if the non-integer numbers were constrained by computers i.e. 32-bit, 64-bit, 128-bit floating points ?